Theorems · Theorem · number theory
IsHeckeTriple.mem_of_mem_left
∀ {G : Type u_1} [inst : Group G] {Δ : Submonoid G} {H₁ : Subgroup G} (H₂ : Subgroup G) [IsHeckeTriple Δ H₁ H₂] {x : G},
x ∈ H₁ → x ∈ ΔElements of the left subgroup lie in Δ.
- Defined in
- Mathlib.NumberTheory.HeckeRing.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- GroupIsHeckeTriple
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- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- IsHeckeTriplestatement and proof · cited by 14
- IsHeckeTriple.left_leproof · cited by 3
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